# A note on polynomial approximation in Sobolev spaces

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 4, page 715-719
- ISSN: 0764-583X

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topVerfürth, Rüdiger. " A note on polynomial approximation in Sobolev spaces." ESAIM: Mathematical Modelling and Numerical Analysis 33.4 (2010): 715-719. <http://eudml.org/doc/197452>.

@article{Verfürth2010,

abstract = {
For domains which are star-shaped
w.r.t. at least one point, we give new bounds on the
constants in Jackson-inequalities in Sobolev spaces. For
convex domains, these bounds do not depend on the
eccentricity. For non-convex domains with a re-entrant
corner, the bounds are uniform w.r.t. the exterior
angle. The main tool is a new projection operator onto
the space of polynomials.
},

author = {Verfürth, Rüdiger},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Jackson inequalities; polynomial
approximation; Sobolev spaces.; Jackson's inequality; star shaped domains},

language = {eng},

month = {3},

number = {4},

pages = {715-719},

publisher = {EDP Sciences},

title = { A note on polynomial approximation in Sobolev spaces},

url = {http://eudml.org/doc/197452},

volume = {33},

year = {2010},

}

TY - JOUR

AU - Verfürth, Rüdiger

TI - A note on polynomial approximation in Sobolev spaces

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 33

IS - 4

SP - 715

EP - 719

AB -
For domains which are star-shaped
w.r.t. at least one point, we give new bounds on the
constants in Jackson-inequalities in Sobolev spaces. For
convex domains, these bounds do not depend on the
eccentricity. For non-convex domains with a re-entrant
corner, the bounds are uniform w.r.t. the exterior
angle. The main tool is a new projection operator onto
the space of polynomials.

LA - eng

KW - Jackson inequalities; polynomial
approximation; Sobolev spaces.; Jackson's inequality; star shaped domains

UR - http://eudml.org/doc/197452

ER -

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